Talking, Internet 35.8,14 22.2, 12.5 24,16.4 32.6,11.9 18.5,9.9 42.5,3.1 28,5.4 23.8,11 30,15.2 22.8,4 20.3,4.7 35.5,

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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R Programming

 

Talking, Internet
35.8,14
22.2,12.5
24,16.4
32.6,11.9
18.5,9.9
42.5,3.1
28,5.4
23.8,11
30,15.2
22.8,4
20.3,4.7
35.5,
Transcribed Image Text:Talking, Internet 35.8,14 22.2,12.5 24,16.4 32.6,11.9 18.5,9.9 42.5,3.1 28,5.4 23.8,11 30,15.2 22.8,4 20.3,4.7 35.5,
Activity Frame
Smartphone Battery Life. Battery life is an important issue for many smartphone
owners. Public health studies have examined "low-battery anxiety" and acute
anxiety called nomophobia which results when a smartphone user's phone battery
charge runs low and then dies (Wall Street Journal). Battery life between charges
for the Samsung Galaxy S9 averages 31 hours when the primary use is talk time
and 10 hours when the primary use is Internet applications. Because the mean hours
for talk time usage is greater than the mean hours for Internet usage, the question
was raised as to whether the variance in hours of usage is also greater when the
primary use is talk time. The file batterylife_r.csv contains sample data showing
battery life between charges for the two applications.
DATA file
batterylife_r
a. Formulate hypotheses about the two population variances that can be used to
determine if the population variance in battery life is greater for the talk time
application.
b. What are the standard deviations of battery life for the two samples?
c. Conduct the hypothesis test and compute the p-value. Using a 0.05 level of
significance, what is your conclusion?
Transcribed Image Text:Activity Frame Smartphone Battery Life. Battery life is an important issue for many smartphone owners. Public health studies have examined "low-battery anxiety" and acute anxiety called nomophobia which results when a smartphone user's phone battery charge runs low and then dies (Wall Street Journal). Battery life between charges for the Samsung Galaxy S9 averages 31 hours when the primary use is talk time and 10 hours when the primary use is Internet applications. Because the mean hours for talk time usage is greater than the mean hours for Internet usage, the question was raised as to whether the variance in hours of usage is also greater when the primary use is talk time. The file batterylife_r.csv contains sample data showing battery life between charges for the two applications. DATA file batterylife_r a. Formulate hypotheses about the two population variances that can be used to determine if the population variance in battery life is greater for the talk time application. b. What are the standard deviations of battery life for the two samples? c. Conduct the hypothesis test and compute the p-value. Using a 0.05 level of significance, what is your conclusion?
Expert Solution
Step 1: Given information

Given battery life for smartphone owners.

want to test variance in hours of usage is greater or not.

Let space sigma subscript 1 squared space space spacebe the variance of talk time users and

sigma subscript 2 squaredbe the variance of internet users

So hypothesis would be,

H o colon space sigma subscript 1 squared less than sigma subscript 2 squared space space space space space v divided by s space space space H o colon space sigma subscript 1 squared greater than sigma subscript 2 squared space space space


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